1. Dynamics on tumor immunotherapy model with periodic impulsive infusion.
- Author
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Zhu, Huiyan, Ding, Qian, Wang, Fangjuan, and Wang, Huilan
- Subjects
- *
CANCER immunotherapy , *DIFFERENTIAL equations , *ORDINARY differential equations , *MATHEMATICAL models , *IMPULSIVE differential equations - Abstract
A periodic pulse differential equation model of tumor immunotherapy is established by considering the periodic and transient behavior of infusing immune cells. Using comparison theorem and Floquet multiplier theory of the impulsive differential equation, the boundedness of the model solution, the existence and stability of the free-tumor periodic solution are given. Furthermore, the persistence of the system is analyzed. Numerical simulations are carried to confirm the main theorems. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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